Noise models

QB Qristal has built-in noise models that are useful for:

• Emulating the noise inherent in hardware quantum gates, and

• Optimizing qubit assignment for a given quantum circuit.

Summary of built-in noise models

default

Model name	default
Total # qubits	User defined
Fully connected degree	All-to-all
Fidelity of 2-qubit gate	99.9%
Fidelity of 1-qubit gate	99.9%
Readout error p(0|1)	0.01
Readout error p(1|0)	0.01

This model is applicable to:

• Open source releases: 202x

• Commercial emulator releases: 202x

Availability on simulators:

• aer

• qsim

• tnqvm

• sparse-sim

• qpp

This model takes the number of qubits specified by the user and generates a fully connected topology between all qubits. Quantum gate noise is modelled using single-qubit depolarization and 2-qubit depolarization channels. The channels are uniform across all qubits. Readout errors are also accounted for in this model.

qb-nm1

This model is applicable to:

• Open source releases: 202x

• Commercial emulator releases: 202x

Availability on simulators:

• aer

• qsim

• tnqvm

• sparse-sim

• qpp

qb-nm2

This model is applicable to:

• Open source releases: 202x

• Commercial emulator releases: 202x

Availability on simulators:

• aer

• qsim

• tnqvm

• sparse-sim

• qpp

qb-qdk1

This model is applicable to:

• Open source releases: 202x

• Commercial emulator releases: 202x

Availability on simulators:

• aer

• qsim

• tnqvm

• sparse-sim

• qpp

Examples showing the use of a built-in noise model

C++

#include "session.hpp"
int main(int argc, char * argv[]) {
    auto tqb = qb::session();
    tqb.qb12();          // Set up meaningful defaults
    tqb.set_qn(2);       // 2 qubits
    tqb.set_acc("aer");  // Aer simulator selected
    tqb.set_noise(true); // Set this to true for noise models to be active
    tqb.set_noise_model("default"); // Also available from Quantum Brilliance: "qb-nm1" , "qb-nm2" , "qb-qdk1"
    tqb.set_instring(R"(
       OPENQASM 2.0;
       include "qelib1.inc";
       creg c[2];
       h q[0];
       cx q[0],q[1];
       measure q[1] -> c[1];
       measure q[0] -> c[0];
       )");
    tqb.run();
    std::string result = ((tqb.get_out_raws()).at(0)).at(0);
    std::cout << result << std::endl;
    return 0;
}

Python

import core
tqb = core.session()
tqb.qb12()
tqb.qn = 2
tqb.acc = "aer"
tqb.noise = True
tqb.noise_model = "default"
tqb.instring = '''
    OPENQASM 2.0;
    include "qelib1.inc";
    creg c[2];
    h q[0];
    cx q[0],q[1];
    measure q[1] -> c[1];
    measure q[0] -> c[0];
'''
tqb.run()
tqb.out_raws[0]

User defined noise models

QB Qristal allows an end-user to implement noise models. First use NoiseProperties to set up noise model parameters. Then pass the parameters to the constructor of qb::NoiseModel.

Modifying the default noise model

See the source code for the default noise model [DefaultNoiseModelFactory] in:

core/src/noise_model/noise_model_factory.cpp

See the constructor [NoiseModel::NoiseModel(const NoiseProperties &noise_props)] in:

core/src/noise_model/noise_model.cpp

Noise channels

Name	Description
amplitude_damp	Amplitude damping with parameter \(\gamma\)
phase_damp	Phase damping with parameter \(\gamma\)
depolarize	Single-qubit and two-qubit depolarization with probability \(p\)
generalized_phase_amplitude_damp	Generalized amplitude and phase damping with 3 parameters: excited state population, amplitude damping, phase damping
generalized_amplitude_damp	Generalized amplitude damping with 2 parameters: excited state population, gamma

See the header code in:

core/include/qb/core/noise_model/noise_model.hpp